Question

According to the empirical rule, approximately what percentage of the area under a normal distribution lies...

According to the empirical rule, approximately what percentage of the area under a normal distribution lies within 1 standard deviation? % Within 2 standard deviations? % Within 3 standard deviations? %

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Answer #1

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According to empirical formula, we know that 68% of the data fall within 1 standard deviation of the mean, 95% of the data fall within 2 standard deviation of the mean and 99.7% of the data fall within 3 standard deviation of the mean.

This image shows the percent wise distribution of data according to the empirical rule

According to the empirical rule, approximately 68 percentage of the area under a normal distribution lies within 1 standard deviation, 95% Within 2 standard deviations and 99.7 % Within 3 standard deviations.

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